To Solonnikov's jubilee

I. V. Denisova   ; K. I. Pileckas   ; S. I. Repin   ; G. A. Seregin   ; N. N. Ural'tseva   ; E. V. Frolova

Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 39, Tome 362 (2008), pp. 5-14

Bibliographie

[1] V. A. Solonnikov, “O kraevykh zadachakh dlya obschikh lineinykh parabolicheskikh sistem”, DAN SSSR, 157:1 (1964), 56–59 | MR | Zbl

[2] V. A. Solonnikov, “Apriornye otsenki dlya uravnenii vtorogo poryadka parabolicheskogo tipa”, Trudy MIAN, 70, Nauka, M., 1964, 133–212 | MR

[3] V. A. Solonnikov, “O kraevykh zadachakh dlya lineinykh parabolicheskikh sistem differentsialnykh uravnenii obschego vida”, Trudy MIAN, 83, Nauka, M., 1965, 3–163 | MR

[4] O. A. Ladyzhenskaya, V. A. Solonnikov, N. N. Uraltseva, Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1964

[5] V. Zaionchkovskii, V. A. Solonnikov, “O zadache Neimana dlya ellipticheskikh uravnenii vtorogo poryadka v oblastyakh s rebrami na granitse”, Zap. nauchn. semin. LOMI, 127, Nauka, L., 1983, 7–48 | MR

[6] V. A. Solonnikov, “O razreshimosti klassicheskikh nachalno-kraevykh zadach dlya uravneniya teploprovodnosti v dvugrannom ugle”, Zap. nauchn. semin. LOMI, 138, Nauka, L., 1984, 146–180 | MR | Zbl

[7] V. A. Solonnikov, E. V. Frolova, “O zadache s tretim kraevym usloviem dlya uravneniya Laplasa v ploskom ugle i ee prilozhenii k parabolicheskim zadacham”, Algebra i analiz, 2:4 (1990), 213–241 | MR | Zbl

[8] G. I. Bizhanova, V. A. Solonnikov, “O razreshimosti nachalno-kraevoi zadachi dlya parabolicheskogo uravneniya vtorogo poryadka s proizvodnoi po vremeni v granichnom uslovii v vesovom gelderovskom prostranstve funktsii”, Algebra i analiz, 5:1 (1993), 109–142 | MR | Zbl

[9] G. I. Bizhanova, V. A. Solonnikov, “Zadachi so svobodnymi granitsami dlya parabolicheskikh uravnenii vtorogo poryadka”, Algebra i analiz, 12:6 (2000), 98–139 | MR

[10] V. A. Solonnikov, E. V. Frolova, “O spravedlivosti kvazistatsionarnogo priblizheniya dlya zadachi Stefana”, Zap. nauchn. semin. POMI, 248, POMI, SPb., 2007, 209–253 | MR

[11] K. K. Golovkin, V. A. Solonnikov, “Otsenki integralnykh operatorov v translyatsionno-invariantnykh normakh”, Trudy MIAN, 70, Nauka, M., 1964, 47–58 | MR

[12] K. K. Golovkin, V. A. Solonnikov, “Otsenki integralnykh operatorov v translyatsionno-invariantnykh normakh”, Trudy MIAN, 92, Nauka, M., 1966, 5–30 | MR

[13] K. K. Golovkin, V. A. Solonnikov, “Ob otsenkakh operatorov svertki”, Zap. nauchn. semin. LOMI, 7, Nauka, L., 1968, 6–86 | MR | Zbl

[14] I. V. Denisova, O. A. Ladyzhenskaya, G. A. Seregin, N. N. Uraltseva, E. V. Frolova, “K yubileyu Vsevoloda Alekseevicha Solonnikova”, Zap. nauchn. semin. POMI, 306, POMI, SPb., 2003, 7–15 | MR

[15] V. A. Solonnikov, “Otsenki reshenii nestatsionarnoi linearizovannoi sistemy uravnenii Nave–Stoksa”, Trudy MIAN, 70, Nauka, M., 1964, 213–317 | MR

[16] V. A. Solonnikov, “O differentsialnykh svoistvakh reshenii pervoi kraevoi zadachi dlya nestatsionarnoi sistemy uravnenii Nave–Stoksa”, Trudy MIAN, 73, Nauka, M., 1964, 221–291 | MR

[17] V. A. Solonnikov, “Otsenki reshenii nestatsionarnoi sistemy Nave–Stoksa”, Zap. nauchn. semin. LOMI, 38, Nauka, L., 1973, 153–231 | MR | Zbl

[18] V. A. Solonnikov, “Otsenki reshenii uravnenii Stoksa v prostranstvakh S. L. Soboleva so smeshannoi normoi”, Zap. nauchn. semin. POMI, 288, POMI, SPb., 2002, 204–231 | MR | Zbl

[19] O. A. Ladyzhenskaya, V. A. Solonnikov, “O razreshimosti kraevykh i nachalno-kraevykh zadach dlya uravnenii Nave–Stoksa v oblastyakh s nekompaktnymi granitsami”, Vestnik LGU, 13:3 (1977), 39–47 | Zbl

[20] O. A. Ladyzhenskaya, V. A. Solonnikov, “O nekotorykh zadachakh vektornogo analiza i obobschennykh postanovkakh kraevykh zadach dlya uravnenii Nave–Stoksa”, Zap. nauchn. semin. LOMI, 59, Nauka, L., 1976, 81–116 | MR | Zbl

[21] V. A. Solonnikov, K. I. Piletskas, “O nekotorykh prostranstvakh solenoidalnykh vektorov i o razreshimosti kraevoi zadachi dlya sistemy uravnenii Nave–Stoksa v oblastyakh s nekompaktnymi granitsami”, Zap. nauchn. semin. LOMI, 79, Nauka, L., 1977, 136–151 | MR | Zbl

[22] O. A. Ladyzhenskaya, V. A. Solonnikov, “O nakhozhdenii reshenii kraevykh zadach dlya statsionarnykh uravnenii Stoksa i Nave–Stoksa, imeyuschikh neogranichennyi integral Dirikhle”, Zap. nauchn. semin. LOMI, 96, Nauka, L., 1980, 117–160 | MR | Zbl

[23] V. A. Solonnikov, “O zadachakh gidrodinamiki vyazkoi neszhimaemoi zhidkosti v oblastyakh s nekompaktnymi granitsami”, Algebra i analiz, 4:6 (1992), 28–53 | MR | Zbl

[24] V. A. Solonnikov, V. E. Schadilov, “Ob odnoi kraevoi zadache dlya statsionarnoi sistemy uravnenii Nave–Stoksa”, Trudy MIAN, 125, Nauka, M., 1973, 196–210 | MR

[25] V. A. Solonnikov, “Razreshimost zadachi o ploskom dvizhenii tyazheloi vyazkoi neszhimaemoi kapillyarnoi zhidkosti, chastichno zapolnyayuschei nekotoryi sosud”, Izv. AN SSSR. Cer. matem., 43:1 (1979), 203–236 | MR | Zbl

[26] V. A. Solonnikov, “Razreshimost trekhmernoi zadachi so svobodnoi granitsei dlya statsionarnoi sistemy uravnenii Nave–Stoksa”, Zap. nauchn. semin. LOMI, 84, Nauka, L., 1979, 252–285 | MR | Zbl

[27] V. A. Solonnikov, “Razreshimost zadachi ob evolyutsii izolirovannogo ob'ema vyazkoi neszhimaemoi kapillyarnoi zhidkosti”, Zap. nauchn. semin. LOMI, 140, Nauka, L., 1984, 179–186 | MR | Zbl

[28] V. A. Solonnikov, “Ob odnoi nachalno-kraevoi zadache dlya sistemy Stoksa, voznikayuschei pri izuchenii zadachi so svobodnoi granitsei”, Trudy MIAN, 188, Nauka, M., 1990, 150–188 | MR

[29] V. A. Solonnikov, “Razreshimost zadachi ob evolyutsii vyazkoi neszhimaemoi zhidkosti, ogranichennoi svobodnoi poverkhnostyu, na konechnom intervale vremeni”, Algebra i analiz, 3:1 (1991), 222–257 | MR | Zbl

[30] I. Sh. Mogilevskii, V. A. Solonnikov, “Razreshimost odnoi nekoertsitivnoi nachalno-kraevoi zadachi dlya sistemy Stoksa v gelderovskikh klassakh funktsii”, Z. Anal. Anwendungen, 8:4 (1989), 329–347 | MR | Zbl

[31] I. Sh. Mogilevskiĭ, V. A. Solonnikov, “On the solvability of an evolution free boundary problem for the Navier–Stokes equations in Hölder spaces of functions”, Mathematical Problems Relating to the Navier–Stokes Equations, Advances in Math. Appl. Sci., 11, ed. G. P. Galdi, World Sci. Publ., River Edge, NJ, 1992, 105–181 | MR | Zbl

[32] V. A. Solonnikov, “Otsenki resheniya vtoroi nachalno-kraevoi zadachi dlya sistemy Stoksa v prostranstvakh funktsii s nepreryvnymi po Gëlderu proizvodnymi po prostranstvennym peremennym”, Zap. nauchn. semin. POMI, 259, POMI, SPb., 1999, 254–279 | MR | Zbl

[33] V. A. Solonnikov, “On the justification of the quasistationary approximation in the problem of motion of a viscous capillary drop”, Interfaces and Free Bundaries, 1:2 (1999), 125–173 | DOI | MR | Zbl

[34] I. V. Denisova, V. A. Solonnikov, “Klassicheskaya razreshimost modelnoi zadachi v poluprostranstve, svyazannoi s dvizheniem izolirovannoi massy szhimaemoi zhidkosti”, Zap. nauchn. semin. POMI, 271, POMI, SPb., 2000, 92–113 | MR | Zbl

[35] I. V. Denisova, V. A. Solonnikov, “Klassicheskaya razreshimost zadachi o dvizhenii izolirovannoi massy szhimaemoi zhidkosti”, Algebra i analiz, 14:1 (2002), 71–98 | MR | Zbl

[36] V. A. Solonnikov, “O neustanovivshemsya dvizhenii konechnoi izolirovannoi massy samogravitiruyuschei zhidkosti”, Algebra i analiz, 1:1 (1989), 207–249 | MR | Zbl

[37] V. A. Solonnikov, “Evolution free boundary problem for equations of motion of viscous compressible barotropic self-gravitating fluid”, SAACM, 3:4 (1993), 257–275

[38] V. A. Solonnikov, “Otsenka obobschennoi energii v zadache so svobodnoi granitsei dlya vyazkoi neszhimaemoi zhidkosti”, Zap. nauchn. semin. POMI, 282, POMI, SPb., 2001, 216–243 | MR | Zbl

[39] V. A. Solonnikov, “Ob ustoichivosti osesimmetricheskikh figur ravnovesiya vraschayuscheisya vyazkoi neszhimaemoi zhidkosti”, Algebra i analiz, 16:2 (2004), 120–153 | MR | Zbl

[40] V. A. Solonnikov, “Lectures on Evolution Free Boundary Problems: Classical Solutions”, Math. Aspects of Evolving Interfaces, Lecture Notes in Math., 1812, Springer, Berlin, 2003, 123–175 | MR | Zbl

[41] V. A. Solonnikov, “On instability of axially symmetric equilibrium figures of rotating viscous incompressible liquid”, Zap. nauchn. sem. POMI, 318, POMI, SPb., 2004, 277–297 | MR | Zbl

[42] V. A. Solonnikov, “On instability of equilibrium figures of rotating viscous incompressible self-gravitating liquid not subjected to capillary forces”, J. Math. Sci., 139:1 (2006), 6338–6350 | DOI | MR | Zbl

[43] V. A. Solonnikov, On the stability of non-symmetric equilibrium figures of rotating self-gravitating liquid not subjected to capillary forces, Volume dedicated to A. V. Kazhikhov, Advances in Mathematical Fluid Mechanics, Birkhäuser, 2009 (to appear)

[44] I. V. Denisova, V. A. Solonnikov, “Klassicheskaya razreshimost zadachi o dvizhenii dvukh vyazkikh neszhimaemykh zhidkostei”, Algebra i analiz, 7:5 (1995), 101–142 | MR | Zbl

[45] V. A. Solonnikov, “On the problem of non-stationary motion of two viscous incompressible liquids”, J. Math. Sci., 142:1 (2007), 1844–1866 | DOI | MR | Zbl